Question 1208287: 4/3x-1/3=x+7
Answer by ikleyn(52776)   (Show Source):
You can put this solution on YOUR website! .
4/3x-1/3=x+7
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Your starting equation is
 -  = x + 7. (1)
In my previous post I solved this equation keeping the fractions
and manipulating fractions to the last point, where I multiplied equation
 = 7
by 3 and got the answer x = 22.
Another way is to multiply equation (1) by 3 from the very beginning
to rid of the denominator. Doing it, we get equation
4x - 1 = 3x + 21.
Now move 3x from right side to left side changing the sign;
move -1 from left side to right side changing the sign.
You will get
4x - 3x = 21 + 1.
Combine like term in each side
x = 22.
Thus you got the same answer.
Solved.
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So, these two ways, one from my previous post and other which is above, are equivalent.
They both produce the same answer.
You may choose any one from these two, which you like more.
For mature student, these ways are the same, and the choice is the matter of taste.
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If you want to learn on how to solve simple and simplest linear equations, read the lesson
- HOW TO solve a linear equation
in this site.
Consider this lesson as your textbook, handbook, tutorials and (free of charge) home teacher.
Happy learning (!)
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